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Optimal control problems of parabolic equations with an infinite number of variables and with equality constraints
Authors:Bahaa  G M
Institution: Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt
Abstract:{dagger} Email: bahaa_gm{at}hotmail.com Received on December 6, 2005; Accepted on December 7, 2006 Optimal control problems of systems governed by parabolic equationswith an infinite number of variables and with additional equalityconstraints are considered. The extremum principle, as wellas sufficient condition of optimality, is formulated for theNeumann problem by using certain extensions of Dubovitskii–Milyutinmethod.
Keywords:optimal control problems  parabolic equations with an infinite number of variables  equality constraints  Dubovitskii-Milyutin theorem  conical approximations  optimality conditions  
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